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Show that of all line segments drawn fr...

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

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To prove that of all line segments drawn from a given point not on a line, the perpendicular line segment is the shortest, we can follow these steps: ### Step 1: Define the Elements Let \( P \) be a point not on line \( L \). We will draw several line segments from point \( P \) to line \( L \). ### Step 2: Draw the Perpendicular Line Segment Draw a perpendicular line segment from point \( P \) to line \( L \). Let this perpendicular line segment be \( PM \), where \( M \) is the foot of the perpendicular from \( P \) to \( L \). ...
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